All categories

3 years ago

Find the percent of change. Original: 80, new: 64

Mathematics

2 answers:

kari74 [83]3 years ago

4 0

80 - 64 = 16

16/80 = 0.2 = 20%

Answer: 20% decreased.

PolarNik [594]3 years ago

4 0

The difference between the numbers is 16, so you then divide this decrease by the original number and multiply that answer by 100.

Your answer is a decrease of 20%

You might be interested in

A recipe requires 1/4 lb of onions to make 3 servings of soup. Mark has 1 1/2 lb of onions. how many servings can mark make?

Alisiya [41]

4 1/4 lbs of onions = 1llb so there are 4 x 3 servings = 12 servings in 1 lb 6 servings in 1/2 lb total of 12+6= 18 servings you can also use ratio and proportion converted to decimals to eliminate fractions ,25/3= 1.5/x cross multiply .25x= 4.5 x=18 hope this helps

3 0

3 years ago

Subtract a + 3 from 3a−5 . Enter your answer in the box.

S_A_V [24]

(3a-5) - (a+3)
Subtract a from 3a while subtracting 3 from 5
Final Answer: 2a - 8

6 0

4 years ago

Statement 1: If √12 - √8 = a, then √12 + √8 is equal to 4/a.

Nana76 [90]

Answer:

Statement 1 is true; Statement 2 is false.

Step-by-step explanation:

Statement 1:

√12 - √8 = a

Let's use the given value of √12 + √8 ,that is, 4/ a.

If we multiply both the expressions such that their Left Hand Sides get multiplies together and Right Hand Sides together:

=> (√12- √8)(√12 + √8) = a × 4/a

On the LHS,

identity used:

(a-b)(a+b) = a²-b²

On the RHS:

a gets canceled due to its presence in both the numerator as well as the denominator.

=> 12 - 8 = 4

=> 4 = 4

That's it!

We got LHS = RHS, that approves the existence of the given statement.

___________________

Statement 2:

"a + √b is called the rationalizing factor of c + √d if their product is 1"

That's not entirely right!

The correct statement would be:

" a + √b is called the rationalizing factor of c + √d if their product is a rational number ."

Since, rationalizing has got nothing to do with 1, (1 is just another rational number), even if we get 2 by their multiplication, it will be called rationalizing as long as we're getting a rational number.

___________________

Answer:

Hence, I'd say:

Statement 1 is correct but Statement 2 isn't.

That's the third option.

5 0

3 years ago

Convert the following repeating decimal to a fraction in simplest form. .05

wolverine [178]

Answer:

1/20

Step-by-step explanation:

Hope that helped :))

6 0

3 years ago

At the movie theatre, child admission is $5.90 and adult admission is $9.70 . On Tuesday, 168 tickets were sold for a total sale

Sergeu [11.5K]

X= child ticket
y= adult ticket

COST EQUATION:
$5.90x + $9.70y=$1352.20
QUANTITY EQUATION:
x+y=168

Step 1:
Solve for one variable in either equation and substitute it in the other equation

x+y=168

subtract y from both sided
x=168-y

Step 2:
substitute x=168-y in other equation

5.90x + 9.70y=1352.20
5.90(168-y) +9.70y=1352.20

multiply 5.90 by everything in parentheses
(5.90*168)+(5.90*-y) +9.70y=1352.20
991.20-5.90y+9.70y=1352.20

combine like terms
991.20+3.80y=1352.20

subtract 991.20 from both sides
3.80y=361

divide both sides by 3.80
y=95 adult tickets

There were 95 adult tickets sold.

Hope this helps! :)

3 0

4 years ago